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Finding the Fourth Proportional to 65,710.43, 90,680.44 and 35,495.76

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Solution

The fourth proportional to 65,710.43, 90,680.44 and 35,495.76 is: 48,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,710.43 : 90,680.44 = 35,495.76 : x
  2. Step 2: Convert to fraction form
    65,710.43/90,680.44 = 35,495.76/x
  3. Step 3: Cross multiply
    65,710.43x = 90,680.44 × 35,495.76
  4. Step 4: Simplify right side
    65,710.43x = 3,218,771,134.93
  5. Step 5: Solve for x
    x = 3,218,771,134.93/65,710.43
  6. Step 6: Final answer
    x = 48,984.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.